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Simplifying 5 + 2(-5 + 6n) = 37 + 6n 5 + (-5 * 2 + 6n * 2) = 37 + 6n 5 + (-10 + 12n) = 37 + 6n Combine like terms: 5 + -10 = -5 -5 + 12n = 37 + 6n Solving -5 + 12n = 37 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -5 + 12n + -6n = 37 + 6n + -6n Combine like terms: 12n + -6n = 6n -5 + 6n = 37 + 6n + -6n Combine like terms: 6n + -6n = 0 -5 + 6n = 37 + 0 -5 + 6n = 37 Add '5' to each side of the equation. -5 + 5 + 6n = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 37 + 5 6n = 37 + 5 Combine like terms: 37 + 5 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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